Created attachment 481411[details]
Screenshot of Settings after step 5
1. sign in
2. go to settings
3. click sign out; sign out
4. go to the wifi settings, turn wifi off
5. go back into home
Expected : login prompt
Actual : no wifi connection dialog shows; you can go into the app.
Note:
1. turning on wifi will take you to the login prompt instead of signing you in

This bug may be my misunderstanding of how the app works.
I explicitly signed out, turned off the wifi, and then clicked on the app.
The app doesn't have a sign on page, it goes into the app without any bookmarks, tabs, etc and the settings page will show a sign out button you can click.

I can't reproduce this. I've tried on both 3.1.3 and 4.1. This is what I do:
1) Login
2) Wait for sync to complete
3) Sign Out
4) Kill the app (on iOS 4)
5) Enable airplane mode
6) Start Home
I always get the login screen.
I have only tested on a phone with Airplane Mode. I"ll try to find an iPod and see if it has the same behaviour or not.

I can't reproduce this. I've tried on both 3.1.3 and 4.1. This is what I do:
1) Login
2) Wait for sync to complete
3) Sign Out
4) Kill the app (on iOS 4)
5) Enable airplane mode
6) Start Home
I always get the login screen.
I have only tested on a phone with Airplane Mode. I"ll try to find an iPod and see if it has the same behaviour or not.